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Finding the Fourth Proportional to 977.00, 1,344.16 and 852.95

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Solution

The fourth proportional to 977.00, 1,344.16 and 852.95 is: 1,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.00 : 1,344.16 = 852.95 : x
  2. Step 2: Convert to fraction form
    977.00/1,344.16 = 852.95/x
  3. Step 3: Cross multiply
    977.00x = 1,344.16 × 852.95
  4. Step 4: Simplify right side
    977.00x = 1,146,492.42
  5. Step 5: Solve for x
    x = 1,146,492.42/977.00
  6. Step 6: Final answer
    x = 1,173.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.